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Finding the Fourth Proportional to 4,697.40, 7,046.21 and 1,577.51

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Solution

The fourth proportional to 4,697.40, 7,046.21 and 1,577.51 is: 2,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.40 : 7,046.21 = 1,577.51 : x
  2. Step 2: Convert to fraction form
    4,697.40/7,046.21 = 1,577.51/x
  3. Step 3: Cross multiply
    4,697.40x = 7,046.21 × 1,577.51
  4. Step 4: Simplify right side
    4,697.40x = 11,115,488.30
  5. Step 5: Solve for x
    x = 11,115,488.30/4,697.40
  6. Step 6: Final answer
    x = 2,366.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.